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A container of fixed volume contains 8.72 × 1023helium atoms, each of mass 6.646

ID: 1422893 • Letter: A

Question

A container of fixed volume contains 8.72 × 1023helium atoms, each of mass 6.646 × 1027 kg.You put the container in a freezer and decrease its temperature from 25.0C to -115 C.

Part A

What is the change in the thermal energy of the gas?

Express your answer with the appropriate units.

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Part B

What is the change in the entropy of the gas?

A container of fixed volume contains 8.72 × 1023helium atoms, each of mass 6.646 × 1027 kg.You put the container in a freezer and decrease its temperature from 25.0C to -115 C.

Part A

What is the change in the thermal energy of the gas?

Express your answer with the appropriate units.

E =

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Part B

What is the change in the entropy of the gas?

S=

Explanation / Answer

here

KE = thermal energy = 3/2 KT

K is Boltzman constant = 1.38 e -23 Joule/K mol

T1 = 25 + 273 = 298 K

T2 -115+ 273 = 158 K


change of energy dE = (E2-E1_

dE = 3/2* 1.38 e -23 * (298-158)

dE = 2.898 *10^-21 JOules /mole

change in energy of gas = 2.898 *10^-21 * 8.72 * 10^23

dE = 2527/06 JOules (ANSWER)

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Entropy dS = 3/2 n K ln (T2/T1)

dS = 3/2 * 8.72*10^23 * 1.38 *10^-23 * ln(158/298)


dS = -11.45 J/K (ANSWER)

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